Answer:
110 ft
Step-by-step explanation:
The length of fencing is four times the perimeter of one garden.
The formula for the perimeter of a rectangle is
P = 2l + 2w
The total perimeter for all four rectangles is
P = 4× (2l + 2w) = 8l + 8w
Data:
l = 9¼ ft
w = 4½ ft
Calculation:
P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft
The total length of fencing is 110 ft.
Answer:
In a pulley, the ideal mechanical advantage is equal to the number of rope segments pulling up on the object. The more rope segments that are helping to do the lifting work, the less force that is needed for the job.
Answer:
I think 478.4 ._.
Step-by-step explanation:
First, find out how many gallons of gasoline she can buy with $18.50 by dividing 18.50 by 1.25 to get 14.8 gallons. Then, since he already has 6 gallons in his tank, add 6 to 14.8 = 20.8. Finally multiply this by the ratio of gallons to miles (23) to get 478.4
Answer: D. y = -4x + 4
Step-by-step explanation:
Notice that the y-intercept is when x is zero and the x intercept is when y is 0.
and to write in the equation in slope intercept form , you will need the slope and the intercept.
We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.
y intercept: ( 0,4)
x intercept: (1,0)
y coordinates difference: 4 - 0 = 4
x coordinates difference: 0 - 1 = - 1
Slope: 4/-1 = -4
Since the slope is -4 and the the y intercept is 4 , the equation will be
y = -4x + 4
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
